math.DG

This is an arXiv category tag: it contains differential geometry and Riemannian geometry. Roughly speaking the notion of geometry here refers to how one can measure things on manifolds.

The relationship between gravitational red shift and the surface gravity of black holes is explained.
Last updated on 2 min read expository

A bit of trivia (can't think of any use of it now) Theorem   Let $(M,g)$ be a two-dimensional compact Riemannian manifold with …
Last updated on 2 min read mathematical diversions

We introduce the Kodama vector field for rotationally symmetric space-times and its relation to gravitational red-shift.
Last updated on 15 min read expository

I've just spent much too long puzzling over the geometric formalism of a paper of Lazar and Hehl, so I figure I'll write a little …
Last updated on 11 min read expository

We explain how to conformally compactify Lorentzian manifolds.
Last updated on 12 min read expository

My PhD Thesis on characterization and conditional uniqueness of the Kerr-Newman solution in general relativity.
Last updated on 2 min read research

Lecture notes on a fake derivation of the Kerr metric from the Schwarzschild metric, based on lots of hindsight.
Last updated on 1 min read expository